Quince comma: Difference between revisions

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The '''quince comma''' ({{monzo|legend=1| -15 0 -2 7 }}, [[ratio]]: 823543/819200) is a [[small comma|small]] [[7-limit]] comma. It is tempered out by the [[quince clan]] of temperaments.
The '''quince comma''' ({{monzo|legend=1| -15 0 -2 7 }}, [[ratio]]: 823543/819200) is a [[small comma|small]] [[7-limit]] comma that is the difference between a stack of five [[8/7]]s and two [[7/5]]s. It is tempered out by the [[quince clan]] of temperaments, which therefore all split [[8/5]] into seven parts, of which two represent 8/7 and five 7/5.


{{todo|expand}}
{{todo|expand}}
[[Category:Commas with unknown etymology]]
[[Category:Commas with unknown etymology]]

Latest revision as of 03:05, 29 April 2025

Interval information
Ratio 823543/819200
Factorization 2-15 × 5-2 × 77
Monzo [-15 0 -2 7
Size in cents 9.153918¢
Name quince comma
Color name Lasepzo-agugu comma, Lz7gg4
FJS name [math]\displaystyle{ \text{ddd4}^{7,7,7,7,7,7,7}_{5,5} }[/math]
Special properties reduced
Tenney norm (log2 nd) 39.2953
Weil norm (log2 max(n, d)) 39.303
Wilson norm (sopfr(nd)) 89
Comma size small
Open this interval in xen-calc

The quince comma (monzo[-15 0 -2 7, ratio: 823543/819200) is a small 7-limit comma that is the difference between a stack of five 8/7s and two 7/5s. It is tempered out by the quince clan of temperaments, which therefore all split 8/5 into seven parts, of which two represent 8/7 and five 7/5.